Robust nonlocal trace spaces and Neumann problems
Grube F, Hensiek T (2024)
Nonlinear Analysis 241: 113481.
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| Veröffentlicht | Englisch
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Abstract / Bemerkung
We prove trace and extension results for fractional Sobolev spaces of order đ â (0, 1). These
spaces are used in the study of nonlocal Dirichlet and Neumann problems on bounded domains.
The results are robust in the sense that the continuity of the trace and extension operators
is uniform as đ approaches 1 and our trace spaces converge to đ»1â2(đđș). We apply these
results in order to study the convergence of solutions of nonlocal Neumann problems as the
integro-differential operators localize to a symmetric, second order operator in divergence form.
Erscheinungsjahr
2024
Zeitschriftentitel
Nonlinear Analysis
Band
241
Art.-Nr.
113481
ISSN
0362546X
Page URI
https://pub.uni-bielefeld.de/record/2985768
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Grube F, Hensiek T. Robust nonlocal trace spaces and Neumann problems. Nonlinear Analysis. 2024;241: 113481.
Grube, F., & Hensiek, T. (2024). Robust nonlocal trace spaces and Neumann problems. Nonlinear Analysis, 241, 113481. https://doi.org/10.1016/j.na.2023.113481
Grube, Florian, and Hensiek, Thorben. 2024. âRobust nonlocal trace spaces and Neumann problemsâ. Nonlinear Analysis 241: 113481.
Grube, F., and Hensiek, T. (2024). Robust nonlocal trace spaces and Neumann problems. Nonlinear Analysis 241:113481.
Grube, F., & Hensiek, T., 2024. Robust nonlocal trace spaces and Neumann problems. Nonlinear Analysis, 241: 113481.
F. Grube and T. Hensiek, âRobust nonlocal trace spaces and Neumann problemsâ, Nonlinear Analysis, vol. 241, 2024, : 113481.
Grube, F., Hensiek, T.: Robust nonlocal trace spaces and Neumann problems. Nonlinear Analysis. 241, : 113481 (2024).
Grube, Florian, and Hensiek, Thorben. âRobust nonlocal trace spaces and Neumann problemsâ. Nonlinear Analysis 241 (2024): 113481.
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